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Finding the Fourth Proportional to 209,965.35, 315,078.64 and 85,306.35

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Solution

The fourth proportional to 209,965.35, 315,078.64 and 85,306.35 is: 128,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,965.35 : 315,078.64 = 85,306.35 : x
  2. Step 2: Convert to fraction form
    209,965.35/315,078.64 = 85,306.35/x
  3. Step 3: Cross multiply
    209,965.35x = 315,078.64 × 85,306.35
  4. Step 4: Simplify right side
    209,965.35x = 26,878,208,741.36
  5. Step 5: Solve for x
    x = 26,878,208,741.36/209,965.35
  6. Step 6: Final answer
    x = 128,012.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.